I don 't know the particular lathe and its fittings, and no lathe called "920" appears on Chester's web-site now as far as I can see, so I would not be surprised at no replacement parts.
However the combination there is probably a mild-steel bush running on hardened pins, the latter possibly only case-hardened, but under controlled conditions to give sufficient depth for finish-grinding.
Normally the best candidates for bushes running on plain steel shafts are likely to be cast-iron and leaded gun-metal, but if I understand correctly, that these are the change-wheel bushes and studs, the bush is also effectively the shaft and has a key-way cut in it.
Hence two steels of different grades or different hardnesses are appropriate, and this is established practice. I have seen the bushes and keys for one lathe cut from single pieces of metal, though somewhat awkward to make.
You could make the studs from silver-steel of diameter close to the diagonal of the square (here =14.14mm)* and mill the square. That is in any case a better approach than turning from square stock as it avoids that horrible interrupted cut and you will be ensuring a full diameter. For best results, and assuming the absence of a cylindrical grinder, the finish should be lapped, using a simple split lap held in a die-holder.
You say a "fair bit of wear". How old in working time are they?
'
*As a general point, for any square of side S, the Diagonal = 1.414S.
From Pythagoras, that constant is the square-root of 2.